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Branching Random Walks in Random Environment are Diffusive in the Regular Growth Phase

Dublin Core		PKP Metadata Items	Metadata for this Document
1.	Title	Title of document	Branching Random Walks in Random Environment are Diffusive in the Regular Growth Phase
2.	Creator	Author's name, affiliation, country	Hadrian Heil; Universität Tübingen; Germany
2.	Creator	Author's name, affiliation, country	Nakashima Makoto; Kyoto University; Japan
2.	Creator	Author's name, affiliation, country	Yoshida Nobuo; Kyoto University; Japan
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)	branching random walk, random environment, central limit theorem, invariance principle, di
3.	Subject	Subject classification	60J80, 60K37, 60F17, 60K35, 82D30
4.	Description	Abstract	We treat branching random walks in random environment using the framework of Linear Stochastic Evolution. In spatial dimensions three or larger, we establish diusive behaviour in the entire growth phase. This can be seen through a Central Limit Theorem with respect to the population density as well as through an invariance principle for a path measure we introduce.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)	Monbukagakusho, JSPS
7.	Date	(YYYY-MM-DD)	2011-08-02
8.	Type	Status & genre	Peer-reviewed Article
8.	Type	Type
9.	Format	File format	PDF
10.	Identifier	Uniform Resource Identifier	http://ejp.ejpecp.org/article/view/922
10.	Identifier	Digital Object Identifier	10.1214/EJP.v16-922
11.	Source	Journal/conference title; vol., no. (year)	Electronic Journal of Probability; Vol 16
12.	Language	English=en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
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